Tunneling effect between radial electric wells in a homogeneous magnetic field

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Tunneling effect between radial electric wells in a homogeneous magnetic field. / Morin, Léo.

I: Letters in Mathematical Physics, Bind 114, Nr. 1, 29, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Morin, L 2024, 'Tunneling effect between radial electric wells in a homogeneous magnetic field', Letters in Mathematical Physics, bind 114, nr. 1, 29. https://doi.org/10.1007/s11005-024-01781-4

APA

Morin, L. (2024). Tunneling effect between radial electric wells in a homogeneous magnetic field. Letters in Mathematical Physics, 114(1), [29]. https://doi.org/10.1007/s11005-024-01781-4

Vancouver

Morin L. Tunneling effect between radial electric wells in a homogeneous magnetic field. Letters in Mathematical Physics. 2024;114(1). 29. https://doi.org/10.1007/s11005-024-01781-4

Author

Morin, Léo. / Tunneling effect between radial electric wells in a homogeneous magnetic field. I: Letters in Mathematical Physics. 2024 ; Bind 114, Nr. 1.

Bibtex

@article{fce951b57aea40d4847f02217401d8ae,
title = "Tunneling effect between radial electric wells in a homogeneous magnetic field",
abstract = "We establish a tunneling formula for a Schr{\"o}dinger operator with symmetric double-well potential and homogeneous magnetic field, in dimension two. Each well is assumed to be radially symmetric and compactly supported. We obtain an asymptotic formula for the difference between the two first eigenvalues of this operator, that is exponentially small in the semiclassical limit.",
keywords = "35Pxx, 81Q20, Magnetic field, Semiclassical limit, Spectral gap, Tunneling",
author = "L{\'e}o Morin",
note = "Funding Information: The author thanks S{\o}ren Fournais, Bernard Helffer, Ayman Kachmar, and Nicolas Raymond for many enlightening discussions, and for encouraging this work. Funding Information: The author states that there is no conflict of interest. This work is funded by the European Union. Views and opinions expressed are however those of the author only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. Publisher Copyright: {\textcopyright} The Author(s) 2024.",
year = "2024",
doi = "10.1007/s11005-024-01781-4",
language = "English",
volume = "114",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Tunneling effect between radial electric wells in a homogeneous magnetic field

AU - Morin, Léo

N1 - Funding Information: The author thanks Søren Fournais, Bernard Helffer, Ayman Kachmar, and Nicolas Raymond for many enlightening discussions, and for encouraging this work. Funding Information: The author states that there is no conflict of interest. This work is funded by the European Union. Views and opinions expressed are however those of the author only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. Publisher Copyright: © The Author(s) 2024.

PY - 2024

Y1 - 2024

N2 - We establish a tunneling formula for a Schrödinger operator with symmetric double-well potential and homogeneous magnetic field, in dimension two. Each well is assumed to be radially symmetric and compactly supported. We obtain an asymptotic formula for the difference between the two first eigenvalues of this operator, that is exponentially small in the semiclassical limit.

AB - We establish a tunneling formula for a Schrödinger operator with symmetric double-well potential and homogeneous magnetic field, in dimension two. Each well is assumed to be radially symmetric and compactly supported. We obtain an asymptotic formula for the difference between the two first eigenvalues of this operator, that is exponentially small in the semiclassical limit.

KW - 35Pxx

KW - 81Q20

KW - Magnetic field

KW - Semiclassical limit

KW - Spectral gap

KW - Tunneling

U2 - 10.1007/s11005-024-01781-4

DO - 10.1007/s11005-024-01781-4

M3 - Journal article

AN - SCOPUS:85185465452

VL - 114

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1

M1 - 29

ER -

ID: 390513718